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(And in case you’re wondering, that’s not an Elsevier journal: it’s published by those nice people at Cambridge University Press.)

Call for papers

Mathematical Structures in Computer Science — special issue

“From Type Theory and Homotopy Theory to Univalent Foundations”

Deadline for submissions: December 31st, 2012

Background
Over the last few years, there has been significant progress in relating
type theory with homotopy theory and higher-dimensional category theory.
These advances have stimulated a new wave of research in type theory, in
which ideas of mathematical logic and theoretical computer science are
often combined with geometric intuition in an original way.

In particular, the Univalent Foundations programme formulated by Vladimir
Voevodsky seeks to develop a new approach to the foundations of
mathematics on the basis of type theories that combine the good
computational properties of Martin-Löf type theories and the Calculus of
Inductive Constructions with new axioms inspired by homotopy theory, such
as the Univalence Axiom.

Aims and scope The aim of the special issue is to provide a comprehensive and timely
account of the state of the art in this new area of research, thus
providing a basis for future developments.

We welcome submissions from participants in the several conferences and
workshops on these topics that are occurring this year or have occurred in
the past few years.

Topics of interest include, but are not limited, to:

homotopical semantics of type theories

semantics of type theories in higher categories

syntactic and semantic aspects of identity types

syntactic and semantic aspects of the Univalence Axiom

development of Univalent Foundations

related issues and challenges in computer-assisted proof-checking

representation of homotopical and higher categorical structures in
type theory

related applications of polynomial/container functors.

Submission The deadline for submissions is December 31st, 2012.

Papers should be submitted as pdf attachments with an email to one of the
editors.